线性缓冲算子矩阵及其应用研究  

Matrix of linear buffer operators and their applications

作　　者：关叶青[1] 刘思峰[1] 

机构地区：[1]南京航空航天大学经济与管理学院,江苏南京210016

出　　处：《高校应用数学学报（A辑）》2008年第3期357-362,共6页Applied Mathematics A Journal of Chinese Universities(Ser.A)

基　　金：国家自然科学基金(70473037);国家教育部博士点基金(20020287001);江苏省自然科学基金重点项目(BK2003211)

摘　　要：在缓冲算子公理体系下,构造了一类线性的弱化缓冲算子和强化缓冲算子,并定义了这类缓冲算子的算子矩阵,研究了它们的一些特性,并以此证明了m阶算子作用的计算公式,最后实例验证了算子的有效性与实用性.Under the axiomatic system of buffer operators,some weakening buffer operators and strengthening buffer ones are established based on linear behaviors.The definition of linear buffer operator matrix is given,the characters and inherent relations of these operators are studied,and the formulas of m-step sequence worked by buffer operators are proved.An example shows their validity and practicability.

关 键 词：缓冲算子 线性 矩阵 

分 类 号：O151.21[理学—数学]